Spatial segregation limit of a competition–diffusion system

We consider a competition–diffusion system and study its singular limit as the interspecific competition rate tend to infinity. We prove the convergence to a Stefan problem with zero latent heat.

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Bibliographic Details
Published in:European journal of applied mathematics 1999-04, Vol.10 (2), p.97-115
Main Authors: DANCER, E. N., HILHORST, D., MIMURA, M., PELETIER, L. A.
Format: Article
Language:English
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Description
Summary:We consider a competition–diffusion system and study its singular limit as the interspecific competition rate tend to infinity. We prove the convergence to a Stefan problem with zero latent heat.
ISSN:0956-7925
1469-4425
DOI:10.1017/S0956792598003660